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Entanglement of free fermions on Hamming graphs

Pierre-Antoine Bernard , Nicolas Crampé , Luc Vinet
Nucl.Phys.B, 2023, 986, pp.116061. ⟨10.1016/j.nuclphysb.2022.116061⟩
Article dans une revue hal-03926291v1
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The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and U(sl2)

Pierre-Antoine Bernard , Nicolas Crampé , Luc Vinet
Discrete Mathematics, 2022, 345 (12), pp.113169. ⟨10.1016/j.disc.2022.113169⟩
Article dans une revue hal-03808156v1
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FRT presentation of classical Askey–Wilson algebras

Pascal Baseilhac , Nicolas Crampé
Letters in Mathematical Physics, 2019, 109, pp.2187-2207. ⟨10.1007/s11005-019-01182-y⟩
Article dans une revue hal-02152774v1

Revisiting the Askey–Wilson algebra with the universal R -matrix of Uq(su(2))

Nicolas Crampé , Julien Gaboriaud , Luc Vinet , Meri Zaimi
Journal of Physics A: Mathematical and Theoretical, 2020, 53 (5), pp.05LT01. ⟨10.1088/1751-8121/ab604e⟩
Article dans une revue hal-02890142v1
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General boundary conditions for the sl(N) and sl(M|N) open spin chains

Daniel Arnaudon , Jean Avan , Nicolas Crampé , Anastasia Doikou , Luc Frappat , et al.
Journal of Statistical Mechanics: Theory and Experiment, 2004, 08, pp.P005. ⟨10.1088/1742-5468/2004/08/P08005⟩
Article dans une revue hal-00001684v3
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Inhomogeneous discrete-time exclusion processes

Nicolas Crampé , K. Mallick , E. Ragoucy , M. Vanicat
Journal of Physics A: Mathematical and Theoretical, 2015, 48 (48), pp.484002. ⟨10.1088/1751-8113/48/48/484002⟩
Article dans une revue hal-01180460v1

Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary

Nicolas Crampé
Symmetry, Integrability and Geometry : Methods and Applications, 2017, 13, pp.094. ⟨10.3842/SIGMA.2017.094⟩
Article dans une revue hal-01664972v1

Equivalent T-Q relations and exact results for the open TASEP

Nicolas Crampé , R. I. Nepomechie
Journal of Statistical Mechanics: Theory and Experiment, 2018, pp.103105. ⟨10.1088/1742-5468/aae2e0⟩
Article dans une revue hal-01820519v1

Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries

Nicolas Crampé
Journal of Physics A: Mathematical and Theoretical, 2015, 48 (8), pp.08FT01. ⟨10.1088/1751-8113/48/8/08FT01⟩
Article dans une revue hal-01110888v1
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Racah Algebras, the Centralizer $$Z_n({{{\mathfrak {s}}}{{\mathfrak {l}}}}_2)$$ and Its Hilbert–Poincaré Series

Nicolas Crampé , Julien Gaboriaud , Loïc Poulain D’andecy , Luc Vinet
Annales Henri Poincaré, 2022, 23 (7), pp.2657-2682. ⟨10.1007/s00023-021-01152-y⟩
Article dans une revue hal-03808212v1

Temperley–Lieb, Brauer and Racah algebras and other centralizers of $\mathfrak {su}(2)$

Nicolas Crampé , Loïc Poulain d'Andecy , Luc Vinet
Transactions of the American Mathematical Society, 2020, 373 (7), pp.4907-4932. ⟨10.1090/tran/8055⟩
Article dans une revue hal-02890155v1

The SU(3) ⊃ SO(3) missing label problem and the analytical Bethe Ansatz

Nicolas Crampé , Dounia Shaaban Kabakibo , Luc Vinet
International Journal of Modern Physics A, 2022, 37 (08), ⟨10.1142/S0217751X22500385⟩
Article dans une revue hal-03808147v1

Integrable N-particle Hamitnonians with Yangian or reflection algebra symmetry

V. Caudrelier , N. Crampé
Journal de Physique, 2004, A37, pp.6285
Article dans une revue hal-00003329v1
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Entanglement of free Fermions on Hadamard graphs

Nicolas Crampé , Krystal Guo , Luc Vinet
Nuclear Physics B, 2020, 960, pp.115176. ⟨10.1016/j.nuclphysb.2020.115176⟩
Article dans une revue hal-02961331v1

Universal low temperature asymptotics of the correlation functions of the Heisenberg chain

Nicolas Crampé , Frank Göhmann , Andreas Klümper
Symmetry, Integrability and Geometry : Methods and Applications, 2010, 6, pp.082. ⟨10.3842/SIGMA.2010.082⟩
Article dans une revue hal-00510824v1

Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions

Nicolas Crampé , Eric Ragoucy , Damien Simon
Journal of Statistical Mechanics: Theory and Experiment, 2010, Issue November 2010, pp.P11038. ⟨10.1088/1742-5468/2010/11/P11038⟩
Article dans une revue hal-00520424v1
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Truncation of the reflection algebra and the Hahn algebra

Nicolas Crampé , Eric Ragoucy , Luc Vinet , Alexei Zhedanov
Journal of Physics A: Mathematical and Theoretical, 2019, 52 (35), pp.35LT01. ⟨10.1088/1751-8121/ab32f8⟩
Article dans une revue hal-02305525v1

Scattering matrix for a general gl(2) spin chain

S. Belliard , N. Crampe , E. Ragoucy
Journal of Statistical Mechanics: Theory and Experiment, 2009, 0912, pp.003. ⟨10.1088/1742-5468/2009/12/P12003⟩
Article dans une revue hal-00414493v1

R-matrix presentation for (super) Yangians Y(g)

Daniel Arnaudon , Jean Avan , Nicolas Crampé , Luc Frappat , Eric Ragoucy
Journal of Mathematical Physics, 2004, 44, pp.302
Article dans une revue hal-00003184v1

Thermodynamical limit of general gl(N) spin chains II: Excited states and energies

N. Crampe , L. Frappat , E. Ragoucy
JSTAT, 2008, 01, pp.P01015
Article dans une revue hal-00211795v1

Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz

Samuel Belliard , Nicolas Crampé
Symmetry, Integrability and Geometry : Methods and Applications, 2013, 9, pp.072. ⟨10.3842/SIGMA.2013.072⟩
Article dans une revue hal-00908656v1

Coideal algebras from twisted Manin triples

Nicolas Crampé , Samuel Belliard
Journal of Geometry and Physics, 2012, 62 (10), pp.2009. ⟨10.1016/j.geomphys.2012.05.008⟩
Article dans une revue hal-00670317v1

Racah problems for the oscillator algebra and sl(n), and multivariate Krawtchouk polynomials

Nicolas Crampé , Luc Vinet , Wouter van de Vijver
Annales Henri Poincaré, 2020, ⟨10.1007/s00023-020-00972-8⟩
Article dans une revue hal-02885779v1

Back to Baxterisation

Nicolas Crampé , E. Ragoucy , M. Vanicat
Commun.Math.Phys., 2019, 365 (3), pp.1079-1090. ⟨10.1007/s00220-019-03299-6⟩
Article dans une revue hal-02065989v1

Matrix Coordinate Bethe Ansatz: Applications to XXZ and ASEP models

Nicolas Crampé , E. Ragoucy , D. Simon
Journal of Physics A: Mathematical and Theoretical, 2011, 44 (40), pp.405003. ⟨10.1088/1751-8113/44/40/405003⟩
Article dans une revue hal-00603322v1

Exact results for the one-dimensional many-body problem with contact interaction: Including a tunable impurity

V. Caudrelier , N. Crampe
2005
Pré-publication, Document de travail hal-00004121v1
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On osp(M|2n) integrable open spin chains

Daniel Arnaudon , Jean Avan , Nicolas Crampé , Anastasia Doikou , Luc Frappat , et al.
Czechoslovak Journal of Physics, 2004, 54, pp.1153
Article dans une revue hal-00002967v1
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Free-Fermion entanglement and orthogonal polynomials

Nicolas Crampé , Rafael Nepomechie , Luc Vinet
Journal of Statistical Mechanics: Theory and Experiment, 2019, 2019 (9), pp.093101. ⟨10.1088/1742-5468/ab3787⟩
Article dans une revue hal-02305436v1
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Heun algebras of Lie type

Nicolas Crampé , Luc Vinet , Alexei Zhedanov
Proceedings of the American Mathematical Society, 2019, pp.1. ⟨10.1090/proc/14788⟩
Article dans une revue hal-02350558v1

Quantum spins on star graphs and the Kondo model

Nicolas Crampé , Andrea Trombettoni
Nuclear Physics B, 2013, 871 (3), pp.526. ⟨10.1016/j.nuclphysb.2013.03.001⟩
Article dans une revue hal-00804167v1